Questions in mathematics

Questions in mathematics

📝 Answered - Select the correct answer. What is the solution for $x$ in the equation? $\frac{5}{3} x+4=\frac{2}{3} x$ A. $x=-\frac{12}{7}$ B. $x=\frac{12}{7}$ C. $x=-4$ D. $x=4$

📝 Answered - Write the equation of a line that passes through $(-6,2)$ and is perpendicular to $y=\frac{3}{2} x+8$. Express your answer in slope-intercept form.

📝 Answered - Use synthetic division to decide whether the given number is a solution of the equation. 5x^4 - 5x^2 + 5; x = 25 A. Yes B. No

📝 Answered - Solve: [tex]4^{3 x}=4^2[/tex]

📝 Answered - Which is the graph of the system [tex]x+3 y>-3[/tex] and [tex]y<\frac{1}{2} x+1[/tex]?

📝 Answered - An exponential growth function has an asymptote of $y=-3$. Which might have occurred in the original function to permit the range to include negative numbers? A. A whole number constant could have been added to the exponential expression. B. A whole number constant could have been subtracted from the exponential expression. C. A whole number constant could have been added to the exponent. D. A whole number constant could have been subtracted from the exponent.

📝 Answered - Select the correct answer. Robert wants to throw a party for his friends. He has booked a banquet hall where he plans to serve dinner. The hall costs $200, and dinner costs $30 per person. If the final bill is $p, which function gives the number of friends at the party? [Hint: First find the function for the final bill as a function of the number of friends, $x$.] A. $30(p-200)$ B. $\frac{p+200}{30}$ C. $30(p+200)$ D. $\frac{p-200}{30}

📝 Answered - A credit card company charges 0.008% interest per day for credit. Step 1 of 2: Write this interest rate in decimal form.

📝 Answered - Which expression is equivalent to $\left(x^{\frac{1}{4}} y^{16}\right)^{\frac{1}{2}}$? A. $x^{\frac{1}{2}} y^4$ B. $x^{\frac{1}{8}} y^8$ C. $x^{\frac{1}{4}} y^8$ D. $x^{\frac{1}{4}} y^4$

📝 Answered - (1) Simplify a) $\sqrt[6]{64}$ b) $\sqrt{550}$ c) $\sqrt{\sqrt{16}}$ (2) Calculate a) $(\sqrt{4}+3 \sqrt{3}),(\sqrt{4}-3 \sqrt{3})=$ Find the perimeter and the area of the rectangle.